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Shape Analysis and Retrieval

Shape Analysis and Retrieval. Extended Gaussian Images. Notes courtesy of Funk et al. , SIGGRAPH 2004. Extended Gaussian Image. Represent a model by a spherical function by binning surface normals. Model. Angular Bins. EGI. Subdividing the Sphere. 20 Faces Icosahedron. 80 Faces.

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Shape Analysis and Retrieval

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  1. Shape Analysis and Retrieval Extended Gaussian Images Notes courtesy of Funk et al., SIGGRAPH 2004

  2. Extended Gaussian Image • Represent a model by a spherical function by binning surface normals Model Angular Bins EGI

  3. Subdividing the Sphere 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces All bins have the same area

  4. Hierarchical Search 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces

  5. Hierarchical Search 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces

  6. Hierarchical Search 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces

  7. Hierarchical Search 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces

  8. Hierarchical Search 20 FacesIcosahedron 80 Faces 320 Faces 1280 Faces

  9. Angular Parameterization 4x4 Bins 8x8 Bins 16x16 Bins 32x32 Bins Different bins have different areas

  10. Angular Parameterization Missing node where bins are small • Different bins have different areas • Smaller bins lose their votes

  11. Angular Parameterization Normalize bins by bin area

  12. Extended Gaussian Image • Properties: • Invertible for convex shapes • 2D array of information • Can be defined for most models Point Clouds Polygon Soups Closed Meshes Genus-0 Meshes Shape Spectrum

  13. Extended Gaussian Image • Properties: • Invertible for convex shapes • 2D array of information • Can be defined for most models • Limitations: • Too much information is lost • Normals are sensitive to noise 3D Model EGI

  14. Extended Gaussian Image • Properties: • Invertible for convex shapes • 2D array of information • Can be defined for most models • Limitations: • Too much information is lost • Normals are sensitive to noise Initial Model Noisy Model

  15. Retrieval Results Princeton Shape Benchmark:(~900 models, ~90 classes) 14 biplanes 50 human bipeds 7 dogs 17 fish 16 swords 6 skulls 15 desk chairs 13 electric guitars http://www.shape.cs.princeton.edu/benchmark/

  16. Retrieval Results Precision Recall

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